117964940315040 has 2304 divisors, whose sum is σ = 540051021619200. Its totient is φ = 23633621434368.

The previous prime is 117964940315039. The next prime is 117964940315093. The reversal of 117964940315040 is 40513049469711.

117964940315040 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 6 + 49 + 403 + 150 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11311236546 + ... + 11311246974.

It is an arithmetic number, because the mean of its divisors is an integer number (234397144800).

Almost surely, 2^{117964940315040} is an apocalyptic number.

117964940315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117964940315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270025510809600).

117964940315040 is an abundant number, since it is smaller than the sum of its proper divisors (422086081304160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117964940315040 is a wasteful number, since it uses less digits than its factorization.

117964940315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 117964940315040 in words is "one hundred seventeen trillion, nine hundred sixty-four billion, nine hundred forty million, three hundred fifteen thousand, forty".